GCD of 102, 165, 159, 898 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 102, 165, 159, 898 quickly. Get the easiest ways to solve the greatest common divisor of 102, 165, 159, 898 i.e 1 in different methods as follows.
Given Input numbers are 102, 165, 159, 898
In the factoring method, we have to find the divisors of all numbers
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 165 :
The positive integer divisors of 165 that completely divides 165 are.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 159 :
The positive integer divisors of 159 that completely divides 159 are.
1, 3, 53, 159
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
GCD of numbers is the greatest common divisor
So, the GCD (102, 165, 159, 898) = 1.
Given numbers are 102, 165, 159, 898
The list of prime factors of all numbers are
Prime factors of 102 are 2 x 3 x 17
Prime factors of 165 are 3 x 5 x 11
Prime factors of 159 are 3 x 53
Prime factors of 898 are 2 x 449
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 102, 165, 159, 898 using LCM Formula
Given numbers are 102, 165, 159, 898
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(102, 165) = 5610
GCD(102, 165) = ( 102 x 165 ) / 5610
= 102 / 165
= 102
Step2:
LCM(3, 159) = 159
GCD(3, 159) = ( 3 x 159 ) / 159
= 3 / 159
= 3
Step3:
LCM(3, 898) = 2694
GCD(3, 898) = ( 3 x 898 ) / 2694
= 3 / 898
= 3
So, Greatest Common Divisor of 102, 165, 159, 898 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 102, 165, 159, 898
Given numbers are 102, 165, 159, 898
The greatest common divisor of numbers 102, 165, 159, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 165, 159, 898 is 1.
FAQs on GCD of 102, 165, 159, 898 Calculator
1. What is the GCD of 102, 165, 159, 898?
GCD of given numbers 102, 165, 159, 898 is 1
2. How to calculate the greatest common divisor of 102, 165, 159, 898?
We can find the highest common divisor of 102, 165, 159, 898 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 102, 165, 159, 898 i.e 1.
3. How can I use the GCD of 102, 165, 159, 898Calculator?
Out the numbers 102, 165, 159, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.